强指定验证者签名方案(SDVS)能让指定的接收方确认消息发送方的身份，但不能向第三方证明发送方的身份，在电子商务和电子政务中有广泛应用。在 DBDH 问题和 Gap BDH 问题困难的前提下，利用双线性对，构造了基于身份的强指定验证者签名方案，并在标准模型下证明了方案的安全性。分析结果表明新提出的方案具有签名者身份的隐私性、不可传递性以及对签名验证的不可委托性。该方案使用双线性对，不需要证书，可简化密钥管理；其通信和计算效率高，实现简单，可用于计算能力受限的设备。%Strong designated verifier signature scheme enables the designated receiver to identify the source of a received message and prevent a third party from identifying the source of the message, which is well suitable for E-commerce and E-government applications. Based on decisional bilinear Diffie-Hellman assumption and gap bilinear Diffie-Hellman assumption, using bilinear pairing, a new strong designated verifier signature scheme is proposed. The security of the scheme is proved under standard model. The analytical results show that the new proposed protocol has unforgeability, non-transferability, privacy of the signer’s identity and non-delegatability for signature verification. This scheme is based on bilinear pairing, which means that it needs no certificate and has a simple key management. On the other hand, it is efficient in communications and computation, and implementation is simple, so that it could be implemented in mobile devices with low power and small processor.
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